• 제목/요약/키워드: Multivariate Analysis of Variance (MANOVA)

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Matrix Formation in Univariate and Multivariate General Linear Models

  • Arwa A. Alkhalaf
    • International Journal of Computer Science & Network Security
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    • 제24권4호
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    • pp.44-50
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    • 2024
  • This paper offers an overview of matrix formation and calculation techniques within the framework of General Linear Models (GLMs). It takes a sequential approach, beginning with a detailed exploration of matrix formation and calculation methods in regression analysis and univariate analysis of variance (ANOVA). Subsequently, it extends the discussion to cover multivariate analysis of variance (MANOVA). The primary objective of this study was to provide a clear and accessible explanation of the underlying matrices that play a crucial role in GLMs. Through linking, essentially different statistical methods, by fundamental principles and algebraic foundations that underpin the GLM estimation. Insights presented here aim to assist researchers, statisticians, and data analysts in enhancing their understanding of GLMs and their practical implementation in diverse research domains. This paper contributes to a better comprehension of the matrix-based techniques that can be extended to GLMs.

다차원척도법과 거리분석을 활용한 그룹화된 비유사성에 대한 비모수적 접근법 (Non-parametric approach for the grouped dissimilarities using the multidimensional scaling and analysis of distance)

  • 남승찬;최용석
    • 응용통계연구
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    • 제30권4호
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    • pp.567-578
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    • 2017
  • 일반적으로 그룹화된 다변량자료는 다변량 분산분석(multivariate analysis of variance; MANOVA)을 사용하여 그룹 간 차이를 검정할 수 있다. 그러나 만약 다변량 분산분석의 기본적인 가정이 위배되면 이 방법은 적절하지 못하다. 이 경우 다양한 거리로부터 그룹화된 비유사성을 계산한 후 다차원척도법(multidimensional scaling; MDS), 거리분석(analysis of distance; AOD) 그리고 비모수적 기법인 순열검정(permutation test)을 적용하여 문제를 해결할 수 있다. 다차원척도법은 비유사성으로부터 개체들의 좌표를 계산해주며 거리분석은 이 좌표를 활용하여 그룹구조를 파악하는데 유용하다. 특히 비유사성의 측도로 유클리드 거리를 사용하면 거리분석은 다변량 분산분석과 수리적으로 매우 밀접한 연관관계를 맺는다. 따라서 본 연구에서는 그룹화된 비유사성에 다차원척도법과 거리분석을 적용하여 그룹 내와 그룹 간의 구조를 파악하고 순열검정을 위한 새로운 검정통계량을 제안하려 한다. 덧붙여 유클리드 거리를 활용한 비유사성을 통해 거리분석과 다변량 분산분석과의 수리적 연관성을 고찰하고자 한다.

단변량 및 다변량 함수 데이터에 대한 분산분석의 활용 (Application of functional ANOVA and functional MANOVA)

  • 김미정
    • 응용통계연구
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    • 제35권5호
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    • pp.579-591
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    • 2022
  • 함수 데이터는 다양한 분야에서 수집되고 있으며, 집단 간의 함수 데이터를 비교해야하는 경우가 종종 발생한다. 이럴 경우 점별 분산분석 방법을 이용하여 설명하기에는 무리가 있으며, 통합된 결과를 제시할 필요가 있다. 이에 대한 다양한 연구가 제안되었으며, 최근에 R 패키지 fdANOVA로 구현되었다. 이 논문에서 우선 분산분석 및 다변량 분산분석을 설명하고, 최근에 제안된 다양한 단변량 및 다변량 함수 데이터 분산분석을 설명하고자 한다. 또한 R 패키지 fdANOVA의 사용 방법을 설명하고, 이 패키지를 이용하여 서울과 부산 지역의 주별 기온을 단변량 함수 데이터 분산분석을 통해 비교하고, 손글씨 이미지를 다변량 함수 데이터로 변환하여 다변량 함수 데이터 분산분석을 이용하여 비교하고자 한다.

여대생들의 의복쇼핑성향에 따른 점포속성중요도, 정보원의 이용, 자기 이미지의 차이에 관한 연구 (A Study on the Differences of Importance of Store Attributes, Use of Information Sources, and Self-Image according to Apparel Shopping Orientation of the Female College Students)

  • 신수윤
    • 복식문화연구
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    • 제7권6호
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    • pp.54-67
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    • 1999
  • The purpose of this study were (1) to segment the female college students according to apparel shopping orientation and (2) to create a profile for each group with regard to impotance of store attributes, use of information sources, and self-image. The questionnaire were administered to the female college students living in Seoul and data were analyzed by frequency, percentage, factor analysis, cluster analysis, one-way ANOVA(analysis of variance), and MANOVA(multivariate analysis of variance). By cluster analysis of apparel shopping orientation factors, four groups are identified : (1) highly involved apparel shopper (44.34%), (2) brand-loyal shopper (24.43%), (3) planned / practical shopper, and (4) apathetic shopper (18.10%) Four groups were then compared through MANOVA on importance of store attributes, use of information, and self-image. Significant differences were found among four groups on three variables. In general. highly involved shopper tend not to be price conscious, enjoy shopping and use the information sources most actively and apathetic shoppers tend to be indifferent to apparel shopping and do not actively use the information sources.

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어머니의 부모 효능감 및 양육 스트레스와 유아의 감성지능과의 관계 (Child's Emotional Intelligence : Relationship with Mother's Parenting Efficacy and Child Rearing Stress)

  • 이승은;서현
    • 아동학회지
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    • 제28권4호
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    • pp.127-144
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    • 2007
  • Mothers of 101 5- to 6-year-old children were administered the Parenting Efficacy Test (Shin & Jung, 1998; Ann & Park 2002) and the Parenting Stress Index (Lee, Yeom, & Shin, 2000). Children's emotional intelligence (EI) was measured by the Emotional Intelligence Test for Children (Lee & Lee, 2004b). Data were analyzed by correlation and multivariate analysis of variance (MANOVA). Correlation analysis demonstrated a relationship of parenting efficacy and stress with child's EI. MANOVA revealed that children, whose maternal parenting efficacy was in the upper thirty percent, showed higher EI than parenting efficacy in the lower thirty percent : children whose maternal parenting stress was in the upper thirty percent, showed lower EI than those with stress in the lower thirty percent.

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Estimation of Gini-Simpson index for SNP data

  • Kang, Joonsung
    • Journal of the Korean Data and Information Science Society
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    • 제28권6호
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    • pp.1557-1564
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    • 2017
  • We take genomic sequences of high-dimensional low sample size (HDLSS) without ordering of response categories into account. When constructing an appropriate test statistics in this model, the classical multivariate analysis of variance (MANOVA) approach might not be useful owing to very large number of parameters and very small sample size. For these reasons, we present a pseudo marginal model based upon the Gini-Simpson index estimated via Bayesian approach. In view of small sample size, we consider the permutation distribution by every possible n! (equally likely) permutation of the joined sample observations across G groups of (sizes $n_1,{\ldots}n_G$). We simulate data and apply false discovery rate (FDR) and positive false discovery rate (pFDR) with associated proposed test statistics to the data. And we also analyze real SARS data and compute FDR and pFDR. FDR and pFDR procedure along with the associated test statistics for each gene control the FDR and pFDR respectively at any level ${\alpha}$ for the set of p-values by using the exact conditional permutation theory.

학교의 안전교육 관련 특성이 청소년의 사고발생 예측에 미치는 영향 (School Safety Education Factors Predicting Injury Prevalence Among Korean Adolescence)

  • 이명선;박경옥
    • 보건교육건강증진학회지
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    • 제21권2호
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    • pp.147-165
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    • 2004
  • Injury is a leading cause of death in the children and adolescent populations. In particular, more than 80% of unintentional injury was related to risk-taking behaviors involved in diverse accidents around school and home. Therefore, educational approaches should be provided for children and adolescent populations, and schools are the essential and appropriate sites to conduct safety education. This study was conducted to identify injury prevalence and safety education at schools among middle and high school students in Korea. About 1,034 middle and high students in 28 schools participated in a self-administered survey. The target schools were selected from the stratified random sampling method throughout schools of seven metropolitan cities in Korea. The questionnaires were delivered to the vice-principals by ground mailing service and the vice-principals administered survey data collection. The questionnaire asked about safety education provided in schools, injury experience in the last year, needs for injury prevention class in school, and demographics. All survey responses were entered into SPSS worksheet. Multivariate analysis of variance (MANOVA) and descriptive discriminant analysis (DDA) were used in statistical analysis with SPSS software 11.1. Multivariate analysis of variance was conducted as a preliminary analysis of DDA. According to the result of multivariate analysis of variance, gender (man), grade (poor), living with both parents, and displaying injury prevention messages on school news board were significantly different between the injured student group and the uninjured student group (p= .00). These four factors also had significant effects on students' injury experience in DDA, although correlation of the four factors with injury experience was weak overall based on their canonical function coefficients. All structure coefficients of the four factors were greater than .30, which means the four factors have discriminant effects on injury prevalence. The sizes of the discriminant effects, in order, were largly from gender, grade, living with both parents, and safety message display on school news boards.

화물자동차운송업 종사자들의 고용형태에 따른 직업만족도 비교 연구 (A Comparative Study on Job Satisfaction of Road Freight Transportation Industry Workers by Type of Employment)

  • 유헌종;안승범
    • 대한교통학회지
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    • 제33권4호
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    • pp.368-378
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    • 2015
  • 본 연구는 화물운송업 종사자들의 고용형태에 따른 직업만족도 차이를 분석함이 목적이다. 본 연구는 설문항목에 대한 신뢰성 타당성 검토를 위해 신뢰성 분석과 요인분석을 실시하였다. 또한 화물자동차운송업 종사자들의 고용형태에 따른 직업만족도 차이를 살펴보기 위해 다변량 분산분석을 실시하였다. 신뢰성 분석과 요인분석 결과 설문항목들은 신뢰성과 타당성을 확보한 것으로 나타났다. 다변량 분산분석 결과 비정규직과 특수형태근로 간 직업만족도 차이는 전체 항목에서 유의하지 않은 것으로 나타났다. 한편 정규직과 비정규직 간 직업만족도 차이를 분석한 결과, 보수/소득, 업무시간, 작업조건, 복리후생, 직장안정성 항목에서 정규직의 만족도가 비정규직에 비해 유의하게 높은 것으로 나타났다. 또한 정규직과 특수형태근로 간 직업만족도 차이를 분석한 결과 보수/소득, 업무시간, 복리후생, 건강을 돌볼 여유 항목에서 정규직의 만족도가 특수형태근로에 비해 유의하게 높은 것으로 나타났다.

STEP 부모교육 프로그램이 어머니의 자아개념, 양육태도 및 유아행동지각에 미치는 효과 (The Effects of the STEP Program on Mothers' Self-Concept, Child-Rearing Attitudes and Children's Behavior.)

  • 황옥자
    • 아동학회지
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    • 제9권1호
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    • pp.93-118
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    • 1988
  • Systematic Training for Effective Parenting, developed by Dinkmeyer and McKay, is a parent education program that emphasizes social-emotional development. The present research studied the applicability of STEP to Korean mothers by examining changes in mothers' self-concept, mother's child-rearing attitudes, and children's behavior. The subjects of this study were 43 mothers of a kindergarten in Chonju City. 25 mothers were assigned to the control group and 18 mothers to the experimental group. Primary observes, consisting of 43 fathers of kindergarten children, and secondary observers, consisting of 43 Woosuk University students observed mothers' child-rearing attitudes and children's behavior. Instruments included the self-concept test by Jung Woonsik, Schaefer's Maternal Behavior Research Instrument, O Kiseon's Parent Child Relationship Test, Fear's parent questionnaire, and McKay's Adlerian Parental Assessment of Child Behavior. The mothers' child-rearing attitudes and the children's behavior are recorded by the observers and were compared with mothers' responses. The data were analyzed by MANOVA (multivariate analysis of variance), and ANOVA (analysis of variance). While the MANOVA showed no significant difference between the control and the experimental groups in changing the mothers' self-concept, differences in 5 of the 8 subfactors showed that STEP implemented positive change in the self-identity, self-satisfaction, self-behavior, personal self and family self in the experimental group. The MANOVA showed a significant difference between the two groups in changing the mothers' child-rearing attitudes. That is after participating in the STEP program, the mothers of the experimental group showed more significant progress than those of the control group. Mothers' observations of positive change in children's behavior agreed with those of the primary and secondary observers.

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Special Education Teachers' Competence, Self-Efficacy, and Autonomy in Using ICT amid the Covid19 Pandemic

  • Yasir A. Alsamiri;Ibraheem M. Alsawalem;Malik A. Hussain;Nur Hidayanto Pancoro Setyo Putro;Mashal S. Aljehany
    • International Journal of Computer Science & Network Security
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    • 제24권6호
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    • pp.131-140
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    • 2024
  • The outbreak of Covid-19 has forced teachers of special education in Saudi Arabia to keep to themselves to live in a technology-infused society throughout the virtual teaching and learning process. This study set out to explore the competence, self-efficacy, and autonomy in using information communication technology (ICT) of special education teachers in Saudi Arabia. A total of 244 special education teachers in Saudi Arabia participated in this study. This study adopted the New General Self-Efficacy Scale developed and validated by Chen, Gully, and Eden (2001), as well as the Basic Psychological Needs in Exercise Scale (BPNES) developed and validated by Vlachopoulos and Michailidou (2006). Confirmatory factor analysis (CFA) and multivariate analysis of variance (MANOVA) were used as the main data analysis in this study. The findings showed that special education teachers in Saudi Arabia possessed competence, self-efficacy, and autonomy in using ICT in their teaching and learning process. All the factor loadings in each factor were.75 or higher, indicating good factor loadings. The results of the MANOVA indicated that special education teachers in Saudi Arabia do not report different perceptions of their competence, self-efficacy, and autonomy despite their different gender, age group, academic background, and teaching experiences.